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The problem asks about the relationship between the graph of \( f(x) \) and \( g(x) = f(x) - 1 \).

### Solution:
- When a **constant** is **subtracted** from the function \( f(x) \), like \( f(x) - 1 \), this corresponds to a **vertical shift downward** by 1 unit. 
  - Subtracting a constant **affects the y-values** of the graph, moving the entire graph **downward** without changing the x-values.

Thus, the correct option is:

**"The graph of \( g(x) \) is the graph of \( f(x) \) translated 1 unit down."**

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Would you like further explanation or have any other questions?

Here are five related questions you might find helpful:
1. What happens when you add a constant to a function, like \( f(x) + 2 \)?
2. How does translating a graph horizontally differ from vertical translations?
3. What is the effect of multiplying a function by a negative constant?
4. How can you identify transformations (shifts, stretches) just by looking at a function?
5. Can you give an example of a horizontal translation, and how it affects the graph?

**Tip:** A vertical translation changes only the y-values, while a horizontal shift affects the x-values.

Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x) = f(x) - 1?

Learn how to determine the relationship between the graph of f(x) and the graph of g(x) = f(x) - 1. This problem explains vertical translations, showing that subtracting a constant moves the graph downward by the corresponding units. Suitable for students in Grades 8-10.

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